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107878068 = 22342331429
BaseRepresentation
bin1100110111000…
…01011010110100
321111222202220000
412123201122310
5210104044233
614412111300
72446643214
oct633413264
9244882800
10107878068
1155992431
1230165530
131947159c
1410482244
15970dd13
hex66e16b4

107878068 has 60 divisors (see below), whose sum is σ = 283423140. Its totient is φ = 35779968.

The previous prime is 107878061. The next prime is 107878079. The reversal of 107878068 is 860878701.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 94128804 = 3708^2 + 9702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107878061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74778 + ... + 76206.

It is an arithmetic number, because the mean of its divisors is an integer number (4723719).

Almost surely, 2107878068 is an apocalyptic number.

107878068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107878068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141711570).

107878068 is an abundant number, since it is smaller than the sum of its proper divisors (175545072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107878068 is a wasteful number, since it uses less digits than its factorization.

107878068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 107878068 is about 10386.4367325854. The cubic root of 107878068 is about 476.0410305238.

The spelling of 107878068 in words is "one hundred seven million, eight hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 233 324 466 699 932 1398 1429 2097 2796 2858 4194 4287 5716 6291 8388 8574 12582 12861 17148 18873 25164 25722 37746 38583 51444 75492 77166 115749 154332 231498 332957 462996 665914 998871 1331828 1997742 2996613 3995484 5993226 8989839 11986452 17979678 26969517 35959356 53939034 107878068